Scholar’s Advanced Technological System
Chapter 639: Clever Proof
Institute of Physics.
In the director's office, the two men, Ark and Brother Luo, stood side by side in front of a blackboard, looking at several lines of formula on the blackboard, silenced very tacitly for a dozen minutes without speaking.
About five more minutes have passed.
Luo Wenxuan suddenly broke the silence.
“Can I go get some wine? ”
“Wine?”
“It's my habit to find something to drink whenever I run into something that doesn't make sense. ”
“And then lie on whose arm to take a nap? By the way, throw the trouble aside first? ”
“Don't say that... am I that kind of person?” Dry cough, Rowenxuan touched his nose, stared at the blackboard and continued, "Well, put the wine thing aside, just now I suddenly remembered something. ”
Ark: “What's on your mind? ”
“One of the papers in Annals-of-mathematics, 1974 edition… I can't remember how many pages, it was Witten who showed me,” I looked back for a while, Rowenxuan continued, "mentioned a possible approach. ”
Annals-of-mathematics, the annual journal of mathematics, is one of the four top issues, and the article above is still very authoritative.
The ark handed him the chalk and made a gesture.
Nor did Rowenxuan speculate. He stood in front of the blackboard for a moment, threw away the chalk in his hand and walked forward to write it.
[The simplest case of energy density with standard order is λφ ^ 4 + φ ², where 0 < λ [1…]
Written here, Rowenxuan paused and looked back at the ark.
“The presence and uniqueness of this field have been proven, and I can turn to that paper for you. ”
“Okay,” the ark nodded, "go on. ”
Rowenxuan turned around and continued to write as he spoke on the blackboard.
“… the field quality meets m = √ (2 + O (λ ^ 3))”
“The existence of mass gaps depends on proving the following estimation when the subset of operators satisfies the density of Ω in H… i.e., for any constantly familiar C, satisfies C < √ 2, there is a constant λ0 > 0, and depends on the constant B of its operator A (A ×), for any 0 λ λ0, there is (AΩe ^ (-tH) · AΩ) Be ^ (-tC), for 1 t… is marked as formula (1)”
It took about five minutes for Rowenxuan to put his memories on the blackboard and look back at the ark.
“That's basically it, I'm not sure if there's any omissions. I'll go back and turn that over again... uh, why are you looking at me like that? ”
“Nothing,” he retracted his unexpected gaze, and the ark shook his head, “just a little surprised. ”
Luo Wenxuan coughed softly and cautioned: “I graduated from Witten at least. ”
Ark: “… oh. ”
Luo Wenxuan: "…”
Mom, I don't even have a chance to pretend.
Not to worry about those irrelevant things for the time being, the ark stared at the formula on the blackboard for about a minute.
Overall, this proves that the idea does have its ingenuity.
Considering that the single-particle state is the intrinsic state of the "mass” operator on Hilbert's space, the corresponding intrinsic value is the mass of the particles. According to the narrow relativity theory, the mass M meets the M ² = H ² -P ² with the energy H and the momentum P as the interchange operator under the unit system of taking the speed of light of 1.
In this particular case, a more detailed study of the spectrum of M. At the same time, the field mass m is an isolated characteristic value in the spectrum of M, corresponding to the observed monoparticle states, which in turn are a non-negotiable representation transformation of the Pangjialai population.
Plus the estimation formula (1) proves that for any ε > 0 and sufficiently small λ, there is a mass gap Δ satisfying Δ > (√ 2-ε), the whole problem has become obvious… at least in the view of the ark.
After a while, the Ark gave its own assessment.
“Theoretically, this line of proof should be viable, but there are just a few problems to be solved, such as that particle… or the uncertainty about the existence of mass m, at least you haven't proved it here. There is also a gradual expansion of λ in m = √ (2 + O (λ ^ 3)), which is also not given here. ”
Upon hearing this, Rowen Xuanton was shocked and looked incredibly at the ark.
“Have you finished? ”
Seeing a surprised look on his face, the ark stunned slightly and asked back.
“Is it hard? ”
Luo Wenxuan said: “Well... it's not hard. ”
It only took him four or five days at most to understand this...
Well, this is actually quite simple compared to the other homework that Old Witten set up.
So comforted himself in his heart, Luo Wenxuan stopped interrupting, went back to the original topic, coughed gently and continued.
“The gradual unfolding of the λ you are talking about gives a method in the literature I mentioned, by constructing a linear operator E2 of gradual projection on H, projecting the state in H to a state of less than two particle masses, to prove the existence of an operator E2 whose value domain is made up of a space of vectors shaped like Ω and e ^ (-sH) Ω. As for what you said to prove the existence of that mass m particle..."
Speaking of which, he smiled with some embarrassment.
“If I proved it, I wouldn't have won the Fields Award? ”
Ark: “…”
That makes so much sense that he doesn't even know how to throw up.
Although this is a quantum chromodynamics issue, it is a complex mathematical proposition specifically addressed.
If you can prove the existence of this particle mathematically, you can win a Heineman Prize for Mathematical Physics even if you don't win the Fields Prize. Although the latter's position in academia is not comparable to that of the Nobel Prize and the prize is only $5,000, it is still quite high in mathematical physics, and many of the big men who study theoretical physics have won the prize.
For example, Weinberg, who founded the unified theory of weak electricity, won the award in 1977 (shortly after two years the Nobel Prize).
As for who can derive the numerical value of m, even if this mass of m particles is observed…
A Nobel Prize can't escape.
Just as the two fell silent, an assistant researcher from the Institute of Physics entered.
The moment he saw the content on the board, he forced the whole person for a while and subconsciously suspected himself of being connected to the discipline of physics for more than a decade.
Who am I?
Where am I?
What does this blackboard say?
It took a while to return to God, forcibly ignoring the heavenly books written on the blackboard, and he knocked gently on the open door and said.
“Professor Lu, someone is looking for you outside the Institute. ”
Staring at the head of the blackboard, he didn't say, "Who? ”
The researcher went on to say, "He calls himself the owner of Zhongshan New Materials, like Liu Wanshan. ”